Finding the Third Proportional to 99,750 and 213,511.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,750 : 213,511.50 = 213,511.50 : x
2. Step 2: Convert to fraction form
   99,750/213,511.50 = 213,511.50/x
3. Step 3: Cross multiply
   99,750x = 213,511.50 × 213,511.50
4. Step 4: Simplify right side
   99,750x = 45,587,160,632.25
5. Step 5: Solve for x
   x = 45,587,160,632.25/99,750
6. Step 6: Final answer
   x = 457,014.14